D = m / V
<span>m = 1.26 g </span>
<span>V = s^3 = 4.1^3 = 68.921 cm^3 </span>
<span>so </span>
<span>D = 12.6 / 68.921 = 0.1828 g/cm^3 </span>
<span>and this corresponds to choice (a)
</span>
Answer:
Tan C = 3/4
Step-by-step explanation:
Given-
∠ A = 90°, sin C = 3 / 5
<u>METHOD - I</u>
<u><em>Sin² C + Cos² C = 1</em></u>
Cos² C = 1 - Sin² C
Cos² C =
Cos² C =
Cos² C =
Cos C =
Cos C =
As we know that
Tan C =
<em>Tan C = </em>
<em>Tan C = </em>
<u>METHOD - II</u>
Given Sin C =
therefore,
AB ( Height ) = 3; BC ( Hypotenuse) = 5
<em>∵ ΔABC is Right triangle.</em>
<em>∴ By Pythagorean Theorem-</em>
<em>AB² + AC² = BC²</em>
<em>AC² </em><em>= </em><em>BC² </em><em>- </em><em> AB</em><em>² </em>
<em>AC² = 5² - 3²</em>
<em>AC² = 25 - 9</em>
<em>AC² = 16</em>
<em>AC ( Base) = 4</em>
<em>Since, </em>
<em>Tan C = </em>
<em>Tan C = </em>
<em>Hence Tan C = </em>
<em />
Answer: a) = 10
b) = 16
Step-by-step explanation:
a) as x = 5 so putting the value of x in given equation
5 multiplied by 2 is equal to 10
b) Putting value of x in given equation
= (5 + 3) 2
According to BODMAS solve the brackets first
= 8 x 2
= 16
Answer:
6 apples and 5 bananas
Step-by-step explanation:
x + y = 11
x = 11 - y
1.75x + 0.70y = 14
1.75(11 - y) + 0.7y = 14
19.25 - 1.75y + 0.7y = 14
5.25 = 1.05y
y = 5
x = 11 - 5 = 6
The Pythagorean theorem tells you the other leg is
... √(c² - a²) = √(4.2² -2.9²) = √9.23 ≈ 3.038 ≈ 3.0
_____
There is insufficient information to do anything with forces.